2 papers
math.NT2025
Multiplicatively dependent integer vectors on a hyperplane
Muhammad Afifurrahman, Valentio Iverson, Gian Cordana Sanjaya
We establish several asymptotic formulae and upper bounds for the count of multiplicatively dependent integer vectors that lie on a fixed hyperplane and have bounded height. This w…
math.NT2025
Moments of restricted divisor functions
Muhammad Afifurrahman, Chandler C. Corrigan
In this article, we study the higher-power moments of restricted divisor functions. In order to establish our main results, we prove a more general result pertaining to the distrib…